On Crank-Nicolson Adams-Bashforth timestepping for approximate deconvolution models in two dimensions

DOI10.1016/j.amc.2014.07.102zbMath1338.76086OpenAlexW1978733840MaRDI QIDQ295154

Songul Kaya, Leo G. Rebholz, Carolina Cardoso Manica

Publication date: 17 June 2016

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2014.07.102

zbMATH Keywords

stability analysisfinite element methodsincompressible flowapproximate deconvolutionCrank-Nicolson Adams Bashforth

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Finite difference methods applied to problems in fluid mechanics (76M20) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Finite element methods applied to problems in fluid mechanics (76M10) Numerical methods for inverse problems for integral equations (65R32)

Related Items (6)

On an energy inequality for the approximate deconvolution models ⋮ Estimates of the discrete van Cittert deconvolution error in approximate deconvolution models of turbulence in bounded domains ⋮ A novel dynamic framework for subgrid scale parametrization of mesoscale eddies in quasigeostrophic turbulent flows ⋮ Numerical analysis and testing of a stable and convergent finite element scheme for approximate deconvolution turbulence models ⋮ Stability of the Crank–Nicolson–Adams–Bashforth scheme for the 2D Leray‐alpha model ⋮ Estimates of the modeling error of the \(\alpha \)-models of turbulence in two and three space dimensions

Uses Software

• FreeFem++

Cites Work

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• Numerical approximation of the Voigt regularization for incompressible Navier-Stokes and magnetohydrodynamic flows
• Horizontal large eddy simulation of stratified mixing in a lock-exchange system
• Convergence of approximate deconvolution models to the mean Navier-Stokes equations
• Modeling error in approximate deconvolution models
• Approximate deconvolution models of turbulence. Analysis, phenomenology and numerical analysis.
• Conservation laws of turbulence models
• Simulations of turbulent ocean flow using a deconvolution model
• Existence theory of abstract approximate deconvolution models of turbulence
• Application of a fractional-step method to incompressible Navier-Stokes equations
• A subgrid-scale deconvolution approach for shock capturing
• Mathematical and numerical foundations of turbulence models and applications
• On the accuracy of the viscous form in simulations of incompressible flow problems
• A TWO-LEVEL MULTISCALE DECONVOLUTION METHOD FOR THE LARGE EDDY SIMULATION OF TURBULENT FLOWS
• The Crank-Nicolson/Adams-Bashforth scheme for the time-dependent Navier-Stokes equations with nonsmooth initial data
• Mathematics of Large Eddy Simulation of Turbulent Flows
• Numerical implementation of the Crank-Nicolson/Adams-Bashforth scheme for the time-dependent Navier-Stokes equations
• An approximate deconvolution procedure for large-eddy simulation
• An explicit filtering method for large eddy simulation of compressible flows
• The approximate deconvolution model for large-eddy simulations of compressible flows and its application to shock-turbulent-boundary-layer interaction
• Large Eddy Simulation for Compressible Flows
• Finite Element Methods for Navier-Stokes Equations
• Finite Element Approximation of the Nonstationary Navier–Stokes Problem. I. Regularity of Solutions and Second-Order Error Estimates for Spatial Discretization
• Reference values for drag and lift of a two‐dimensional time‐dependent flow around a cylinder
• The effect of numerical errors and turbulence models in large-eddy simulations of channel flow, with and without explicit filtering
• CONVERGENCE ANALYSIS OF THE FINITE ELEMENT METHOD FOR A FUNDAMENTAL MODEL IN TURBULENCE
• New development in freefem++
• Stability and Convergence of the Crank–Nicolson/Adams–Bashforth scheme for the Time‐Dependent Navier–Stokes Equations
• The Mathematical Theory of Finite Element Methods
• On the Stolz--Adams Deconvolution Model for the Large-Eddy Simulation of Turbulent Flows
• ARTIFICIAL BOUNDARIES AND FLUX AND PRESSURE CONDITIONS FOR THE INCOMPRESSIBLE NAVIER-STOKES EQUATIONS
• A multilevel finite element method in space‐time for the Navier‐Stokes problem

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